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Dynamical characteristic of entropic uncertainty relation in
the long-range Ising model with an arbitrary magnetic field

Research Authors
R. A. Abdelghany, A.-B. A. Mohamed, M. Tammam, A.-S. F. Obada4
Research Abstract

In this work, we explore the quantum-memory-assisted entropic uncertainty relation
(QMA-EUR) and the entanglement concurrence for the long-range Ising (LRI) model
in the presence of an arbitrarymagnetic field. The long-range interaction is considered
as type of the Calogero–Moser interaction that is inversely proportional to the square
of the distance between the spins. It is shown that the measurement’s uncertainty and
the entanglement concurrence are extremely sensitive to the effects of the distance
between spins, the magnitude, and the direction of the external magnetic field. The
evaluation of the QMA-EUR is fully related to the entanglement concurrence in case
of the LRI model. At larger distances between the spins, there is inflation in the
measuring uncertainty due to the fragile entanglement between them. The evolutions
of the entanglement and the uncertainty showonly similar dynamical characteristics in
antiferromagnetic and ferromagnetic frames when the magnetic field is perpendicular
to the z-axis.

Research Department
Research Journal
Quantum Information Processing
Research Member
Research Publisher
IOP science
Research Rank
1
Research Vol
19
Research Website
https://doi.org/10.1007/s11128-020-02897-x
Research Year
2020
Research Pages
392